Q: What are the factor combinations of the number 124,124,425?

 A:
Positive:   1 x 1241244255 x 2482488525 x 496497741 x 302742583 x 1495475205 x 605485415 x 2990951025 x 1210971459 x 850752075 x 598193403 x 364757295 x 17015
Negative: -1 x -124124425-5 x -24824885-25 x -4964977-41 x -3027425-83 x -1495475-205 x -605485-415 x -299095-1025 x -121097-1459 x -85075-2075 x -59819-3403 x -36475-7295 x -17015


How do I find the factor combinations of the number 124,124,425?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 124,124,425, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 124,124,425
-1 -124,124,425

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 124,124,425.

Example:
1 x 124,124,425 = 124,124,425
and
-1 x -124,124,425 = 124,124,425
Notice both answers equal 124,124,425

With that explanation out of the way, let's continue. Next, we take the number 124,124,425 and divide it by 2:

124,124,425 ÷ 2 = 62,062,212.5

If the quotient is a whole number, then 2 and 62,062,212.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 124,124,425
-1 -124,124,425

Now, we try dividing 124,124,425 by 3:

124,124,425 ÷ 3 = 41,374,808.3333

If the quotient is a whole number, then 3 and 41,374,808.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 124,124,425
-1 -124,124,425

Let's try dividing by 4:

124,124,425 ÷ 4 = 31,031,106.25

If the quotient is a whole number, then 4 and 31,031,106.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 124,124,425
-1 124,124,425
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

152541832054151,0251,4592,0753,4037,29517,01536,47559,81985,075121,097299,095605,4851,495,4753,027,4254,964,97724,824,885124,124,425
-1-5-25-41-83-205-415-1,025-1,459-2,075-3,403-7,295-17,015-36,475-59,819-85,075-121,097-299,095-605,485-1,495,475-3,027,425-4,964,977-24,824,885-124,124,425

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